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Finding the Fourth Proportional to 270,987.70, 406,942.35 and 200,946.10

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Solution

The fourth proportional to 270,987.70, 406,942.35 and 200,946.10 is: 301,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,987.70 : 406,942.35 = 200,946.10 : x
  2. Step 2: Convert to fraction form
    270,987.70/406,942.35 = 200,946.10/x
  3. Step 3: Cross multiply
    270,987.70x = 406,942.35 × 200,946.10
  4. Step 4: Simplify right side
    270,987.70x = 81,773,478,157.34
  5. Step 5: Solve for x
    x = 81,773,478,157.34/270,987.70
  6. Step 6: Final answer
    x = 301,760.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.